Greatest Common Factor of 6509 and 6512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 6509, 6512 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6509 and 6512 is 1.

GCF(6509,6512) = 1

GCF of 6509 and 6512

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 6509 and 6512

GCF of 6509 and 6512 is 1

Prime Factorization of 6509


23 6509
283 283
1

Prime factors of 6509 are 23,283. Prime factorization of 6509 in exponential form is:

6509 = 231×2831

Prime Factorization of 6512


2 6512
2 3256
2 1628
2 814
11 407
37 37
1

Prime factors of 6512 are 2,11,37. Prime factorization of 6512 in exponential form is:

6512 = 24×111×371

∴ So by taking common prime factors GCF of 6509 and 6512 is 1

Greatest Common Factor of 6509 and 6512 by matching factors method

Factors of 6509

List of positive integer factors of 6509 that divides 6509 without a remainder.

1,23,283,6509

Factors of 6512

List of positive integer factors of 6512 that divides 6512 without a remainder.

1,2,4,8,11,16,22,37,44,74,88,148,176,296,407,592,814,1628,3256,6512

Greatest Common Factor

We found the factors and prime factorization of 6509 and 6512. The biggest common factor number is the GCF number.
So the greatest common factor 6509 and 6512 is 1.

Also check out the Least Common Multiple of 6509 and 6512

Properties of GCF 6509 and 6512

(i) The GCF of 6509 and 6512 is associative

GCF of 6509 and 6512 = GCF of 6512 and 6509

Related Greatest Common Factor of 6509

Related Greatest Common Factor of 6512

Frequently Asked Questions on GCF of 6509 and 6512

1. What is the GCF of 6509 and 6512?

Answer: GCF of 6509 and 6512 is 1.

2. What are the Factors of 6509?

Answer: Factors of 6509 are 1, 23, 283, 6509. There are 4 integers that are factors of 6509. The greatest factor of 6509 is 6509.

3. What are the Factors of 6512?

Answer: Factors of 6512 are 1, 2, 4, 8, 11, 16, 22, 37, 44, 74, 88, 148, 176, 296, 407, 592, 814, 1628, 3256, 6512. There are 20 integers that are factors of 6512. The greatest factor of 6512 is 6512.

4. How to Find the GCF of 6509 and 6512?

Answer:

Greatest Common Factor of 6509 and 6512 = 1

Step 1: Find the prime factorization of 6509

6509 = 23 x 283

Step 2: Find the prime factorization of 6512

6512 = 2 x 2 x 2 x 2 x 11 x 37

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 6509 and 6512 is 1